Now showing items 1-7 of 7

    • Cayley automaton semigroups 

      McLeman, Alexander Lewis Andrew (University of St Andrews, 2015-06-26) - Thesis
      Let S be a semigroup, C(S) the automaton constructed from the right Cayley graph of S with respect to all of S as the generating set and ∑(C(S)) the automaton semigroup constructed from C(S). Such semigroups are ...
    • Commutativity and free products in Thompson's group V 

      Bieniecka, Ewa (University of St Andrews, 2018-06-26) - Thesis
      We broaden the theory of dynamical interpretation, investigate the property of commutativity and explore the subject of subgroups forming free products in Thompson's group V. We expand Brin's terminology for a revealing ...
    • Constructing 2-generated subgroups of the group of homeomorphisms of Cantor space 

      Hyde, James Thomas (University of St Andrews, 2017) - Thesis
      We study finite generation, 2-generation and simplicity of subgroups of H[sub]c, the group of homeomorphisms of Cantor space. In Chapter 1 and Chapter 2 we run through foundational concepts and notation. In Chapter 3 we ...
    • Decision problems in groups of homeomorphisms of Cantor space 

      Olukoya, Feyisayo (University of St Andrews, 2018-12-06) - Thesis
      The Thompson groups $F, T$ and $V$ are important groups in geometric group theory: $T$ and $V$ being the first discovered examples of finitely presented infinite simple groups. There are many generalisations of these groups ...
    • Fractal, group theoretic, and relational structures on Cantor space 

      Donoven, Casey Ryall (University of St Andrews, 2016) - Thesis
      Cantor space, the set of infinite words over a finite alphabet, is a type of metric space with a `self-similar' structure. This thesis explores three areas concerning Cantor space with regard to fractal geometry, group ...
    • Free products in R. Thompson’s group V 

      Bleak, Collin Patrick; Salazar-Diaz, Olga (2013-11) - Journal article
      We investigate some product structures in R. Thompson's group $ V$, primarily by studying the topological dynamics associated with $ V$'s action on the Cantor set C. We draw attention to the class D(V,C) of groups which ...
    • On plausible counterexamples to Lehnert's conjecture 

      Bennett, Daniel (University of St Andrews, 2018) - Thesis
      A group whose co-word problem is a context free language is called co𝐶𝐹 . Lehnert's conjecture states that a group 𝐺 is co𝐶𝐹 if and only if 𝐺 embeds as a finitely generated subgroup of R. Thompson's group V . In this ...